Matrix Methods for Inhomogeneous Systems: Theory, Fundamental Matrix, Variation of Parameters

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Taught by OCW
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Lesson Description:

Matrix Methods for Inhomogeneous Systems: Theory, Fundamental Matrix, Variation of Parameters -- Lecture 28. Learn about inhomogeneous systems of ODEs by using matrices.

Arthur Mattuck, 18.03 Differential Equations, Spring 2006. (Massachusetts Institute of Technology: MIT OpenCourseWare), http://ocw.mit.edu (Accessed November 29, 2008). License: Creative Commons BY-NC-SA.
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Additional Resources:
Questions answered by this video:
  • What are Matrix Methods for Inhomogeneous Systems?
  • What are Inhomogeneous Systems?
  • What is the Fundamental Matrix?
  • What is Variation of Parameters?
  • Staff Review

    • Currently 4.0/5 Stars.
    An interesting discussion of inhomogeneous systems of linear differential equations by using matrices. The lecture is almost entirely theory, but overall, a good explanation of inhomogeneous systems. Wronskians come up again in this lecture as well, and the fundamental matrix is defined with its properties.